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Geometric inequalities on sub-Riemannian manifolds

Prof. Fabrice Baudoin University of Connecticut
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Prof. Fabrice Baudoin University of Connecticut
When Jan 19, 2018
from 11:00 AM to 12:30 PM
Where LH 006
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Abstract: In those lectures, we will discuss the notion of Ricci curvature lower bounds on sub-Riemannian manifolds with a particular emphasis on the associated curvature dimension inequalities. We will discuss applications of those inequalities to:

1) Sub-Laplacian comparison theorems 

2) Volume doubling properties 

3) Sobolev and isoperimetric inequalities

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